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Finding the Fourth Proportional to 956.43, 1,319.79 and 563.40

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Solution

The fourth proportional to 956.43, 1,319.79 and 563.40 is: 777.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.43 : 1,319.79 = 563.40 : x
  2. Step 2: Convert to fraction form
    956.43/1,319.79 = 563.40/x
  3. Step 3: Cross multiply
    956.43x = 1,319.79 × 563.40
  4. Step 4: Simplify right side
    956.43x = 743,569.69
  5. Step 5: Solve for x
    x = 743,569.69/956.43
  6. Step 6: Final answer
    x = 777.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.